Functions with Average and Bounded Motions of a Forced Discontinuous Oscillator Enguiça, Ricardo Ortega Ríos, Rafael In this paper we prove the existence of bounded solutions in the real line for the equation u¨ +sign(u) = p(t), where p is a function with average. Some useful density results for the space of functions with zero average are also obtained. 2025-01-16T10:20:03Z 2025-01-16T10:20:03Z 2019 journal article https://doi.org/10.1007/s10884-017-9595-1 https://hdl.handle.net/10481/99361 https://doi.org/10.1007/s10884-017-9595-1 eng http://creativecommons.org/licenses/by-nc-nd/3.0/ open access Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Springer